{
  "id": "2311.01087",
  "version": "v1",
  "published": "2023-11-02T08:54:02.000Z",
  "updated": "2023-11-02T08:54:02.000Z",
  "title": "Hyperbolic isometries of the ne curve graph of higher genus surfaces",
  "authors": [
    "Pierre-Antoine Guihéneuf",
    "Emmanuel Militon"
  ],
  "categories": [
    "math.DS",
    "math.GR",
    "math.GT"
  ],
  "abstract": "We prove that for a homeomorphism f that is isotopic to the identity on a closed hyperbolic surface, the following are equivalent: * f acts hyperbolically on the fine curve graph; * f is isotopic to a pseudo-Anosov map relative to a finite f-invariant set; * the ergodic homological rotation set of f has nonempty interior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-02T08:54:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "higher genus surfaces",
      "hyperbolic isometries",
      "fine curve graph",
      "finite f-invariant set",
      "ergodic homological rotation set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}